You have been appointed as the health minister of a large country. There are 1,000,000 children in your country. You institute nationwide fitness testing, which is assessed by how much weight a child can deadlift. Children who fall two or more standard deviations above the mean of this normal curve will be sent a letter of commendation, while students two or more standard deviations below the mean will be sent a letter of shame. (You must answer BOTH parts of the question for full credit.)

A: Approximately how many letters will you need to send?

B: Why is this the case and how do you know?